# Global well-posedness for 2-D Boussinesq system with the temperature-dependent viscosity and supercritical dissipation

## TL;DR

This paper establishes the global well-posedness of the 2-D Boussinesq system with temperature-dependent viscosity and supercritical dissipation, extending previous results to more challenging dissipation regimes.

## Contribution

It extends prior work by proving global well-posedness for the 2-D Boussinesq system with supercritical dissipation and temperature-dependent viscosity.

## Key findings

- Proves global existence and uniqueness of solutions.
- Handles supercritical dissipation in the Boussinesq system.
- Extends mathematical understanding of fluid dynamics with variable viscosity.

## Abstract

The present paper is dedicated to the global well-posedness issue for the Boussinesq system with the temperature-dependent viscosity in $\mathbb{R}^2.$ We aim at extending the work by Abidi and Zhang ( Adv. Math. 2017 (305) 1202--1249 ) to a supercritical dissipation for temperature.